Generalized element load method for first- and second-order element solutions with element load effect

Iu, C.K. (2015) Generalized element load method for first- and second-order element solutions with element load effect. Engineering Structures, 92, pp. 101-111.

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The finite element method in principle adaptively divides the continuous domain with complex geometry into discrete simple subdomain by using an approximate element function, and the continuous element loads are also converted into the nodal load by means of the traditional lumping and consistent load methods, which can standardise a plethora of element loads into a typical numerical procedure, but element load effect is restricted to the nodal solution. It in turn means the accurate continuous element solutions with the element load effects are merely restricted to element nodes discretely, and further limited to either displacement or force field depending on which type of approximate function is derived. On the other hand, the analytical stability functions can give the accurate continuous element solutions due to element loads. Unfortunately, the expressions of stability functions are very diverse and distinct when subjected to different element loads that deter the numerical routine for practical applications. To this end, this paper presents a displacement-based finite element function (generalised element load method) with a plethora of element load effects in the similar fashion that never be achieved by the stability function, as well as it can generate the continuous first- and second-order elastic displacement and force solutions along an element without loss of accuracy considerably as the analytical approach that never be achieved by neither the lumping nor consistent load methods. Hence, the salient and unique features of this paper (generalised element load method) embody its robustness, versatility and accuracy in continuous element solutions when subjected to the great diversity of transverse element loads.

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4 citations in Scopus
4 citations in Web of Science®
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ID Code: 82856
Item Type: Journal Article
Refereed: Yes
Keywords: Finite element method, element load method, second-order elastic analysis, higher-order element formulation, element solutions
DOI: 10.1016/j.engstruct.2015.03.016
ISSN: 0141-0296
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Structural Engineering (090506)
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2015 Elsevier Ltd.
Copyright Statement: NOTICE: this is the author’s version of a work that was accepted for publication in Engineering Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Engineering Structures, Volume 92, 1 June 2015. DOI 10.1016/j.engstruct.2015.03.016
Deposited On: 27 Mar 2015 00:46
Last Modified: 21 Jul 2017 23:12

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